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Finding the Third Proportional to 24,824.25 and 47,135.25

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Solution

The third proportional to 24,824.25 and 47,135.25 is: 89,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.25 : 47,135.25 = 47,135.25 : x
  2. Step 2: Convert to fraction form
    24,824.25/47,135.25 = 47,135.25/x
  3. Step 3: Cross multiply
    24,824.25x = 47,135.25 × 47,135.25
  4. Step 4: Simplify right side
    24,824.25x = 2,221,731,792.56
  5. Step 5: Solve for x
    x = 2,221,731,792.56/24,824.25
  6. Step 6: Final answer
    x = 89,498.45

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.